398855241753930 has 192 divisors, whose sum is σ = 1122950228400000. Its totient is φ = 97640089376256.

The previous prime is 398855241753923. The next prime is 398855241753937. The reversal of 398855241753930 is 39357142558893.

398855241753930 is a `hidden beast` number, since 3 + 9 + 8 + 8 + 5 + 52 + 4 + 1 + 7 + 539 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (398855241753923) and next prime (398855241753937).

It is not an unprimeable number, because it can be changed into a prime (398855241753937) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153468421 + ... + 156045719.

It is an arithmetic number, because the mean of its divisors is an integer number (5848699106250).

Almost surely, 2^{398855241753930} is an apocalyptic number.

398855241753930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 398855241753930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561475114200000).

398855241753930 is an abundant number, since it is smaller than the sum of its proper divisors (724094986646070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

398855241753930 is a wasteful number, since it uses less digits than its factorization.

398855241753930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578053 (or 2578050 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 398855241753930 in words is "three hundred ninety-eight trillion, eight hundred fifty-five billion, two hundred forty-one million, seven hundred fifty-three thousand, nine hundred thirty".